SAT Question 310c87fe: Area and Volume answer and explanation with Desmos solution

Choice B is correct. The surface area of a cube with side length $s$ is equal to $6s^2$. Since the surface area is given as $54$ square meters, the equation $54=6s^2$ can be used to solve for $s$. Dividing both sides of the equation by $6$ yields $9=s^2$. Taking the square root of both sides of this equation yields $3=s$ and $-3=s$. Since the side length of a cube must be a positive value, $s=-3$ can be discarded as a possible solution, leaving $s=3$. The volume of a cube with side length $s$ is equal to $s^3$. Therefore, the volume of this cube, in cubic meters, is $3^3$, or $27$.